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Finding the Fourth Proportional to 416,570.11, 624,434.39 and 164,027.80

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Solution

The fourth proportional to 416,570.11, 624,434.39 and 164,027.80 is: 245,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.11 : 624,434.39 = 164,027.80 : x
  2. Step 2: Convert to fraction form
    416,570.11/624,434.39 = 164,027.80/x
  3. Step 3: Cross multiply
    416,570.11x = 624,434.39 × 164,027.80
  4. Step 4: Simplify right side
    416,570.11x = 102,424,601,987.74
  5. Step 5: Solve for x
    x = 102,424,601,987.74/416,570.11
  6. Step 6: Final answer
    x = 245,876.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.